Q: What are the prime factors of the number 28,053,168?

 A: 2, 3, 11, 13, 61, 67

Why are those the prime factors of the number 28,053,168?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 28,053,168

28,053,168
Factor Arrows
214,026,584
Factor Arrows
27,013,292
Factor Arrows
23,506,646
Factor Arrows
21,753,323
Factor Arrows
3584,441
Factor Arrows
1153,131
Factor Arrows
134,087
Factor Arrows
6167

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 11, 13, 61, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11 x 13 x 61 x 67 = 28,053,168

This can also be written as 24 x 31 x 111 x 131 x 611 x 671 = 28,053,168

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 28,053,168:


Ask a Question